There were only two chances in the whole game - one at each end - as defences ruled the day.
Chris Llewellyn tried a long-range drive that went straight over Chester's bar and into the visitors stand as Wrexham applied early pressure. A 25-yard shot from Rob Garrett then bent away from keeper John Danby who had to move smartly to make the save.
Another cross from Llewellyn was headed away by Phil Bolland who also cleared from Simon Spender.
Both sides were battling for bragging rights but Wrexham also had their lives at stake, looking for survival in the league.
Kevin Sandwith shot too high from a free-kick in a rare Chester raid and Simon Yeo tested Wrexham's on-loan keeper John Ruddy with a low shot from the edge of the area.
Llewellyn's header against the crossbar came midway through the opening half when he went up for a free-kick from Gareth Evans.
As the pace quickened Chester picked up two cautions in as many minutes when first Roberto Martinez brought down Llewellyn, then Bolland halted Lee McEvilly's break through the centre.
Chester turned up the pressure for the second half forcing two quick corners before Wrexham broke away for a Llewellyn shot that went wide.
Desperate to get ahead, Wrexham introduced new signing Mike Carvill to replace the young Andy Fleming who had made his first start in the senior side.
But it was Chester who pushed up with Alex Meechan producing a goalbound header with his first touch after arriving as a substitute but keeper Ruddy had no trouble saving low down.
Chester's best chance fell to Paul Linwood with a point-blank header from Sandwith's cross, that brought a fine reaction save from the home keeper.
Wrexham saw a shot from substitute Marc Williams saved by Danby as the game finished without a goal to the disappointment of Wrexham's biggest home crowd of the season.